Might be 134 because since angle 2 and 8 are lined up like that it is same side exterior angles which means they are supplementary from each other so they will equal 180. So I did 180-46 to get 134, I’m not sure if I’m correct
Answer:
556, 558, and 560
Step-by-step explanation:
1674/3 = 558 (An even number, yay)
So 558 + 558 + 558 = 1674
Subtract two from the first one and add two to the last (still equal)
556 + 558 + 560
adding them equals 1674 so the answer is
556, 558, and 560
Answer:
<A =21
<B = 84
<c = 75
Step-by-step explanation:
<A =x
<B = 4x
<C =5x-30
The sum of A+B+C = 180
x+ 4x + 5x-30 = 180
Combine like terms
10x -30 = 180
Add 30 to each side
10x-30+30 = 180+30
10x = 210
Divide by 10
10x/10 = 210/10
x= 21
Since x =21 we can find the value of the angles
Substituting x into the equations for angles A, B and C
<A =21
<B = 4x = 4*21 = 84
<C = 5x-30 = 5*21-30 = 105-30 = 75
Answer:
-17/5
Step-by-step explanation:
Multiply ten to everything to get
6x-1= x+2-20
Simplify to 5x= -17
Solve to get x = -17/5
Step-by-step answer:
Given:
A triangle
Perimeter = 60 cm
longest side = 4* shortest side (x)
Solution:
longest side = 4x
shortest side = x
third (intermediate side = 60 -x -4x = 60-5x
The triangle inequality specifies that the sum of the two shorter sides must be greater than the longest side to form a triangle. Hence
x + y > 4x
x + 60-5x > 4x
60 - 4x > 4x
8x < 60
x < 60/8 = 7.5, or
x < 7.5
Therefore to form a triangle, x (shortest side) must be less than 7.5 cm.
Examine the options: both 7 and 5 are both less than 7.5 cm.
40, 30 and 25 all have a problem because the longest side (4 times longer) will exceed the perimeter of 60.
Now also examine cases where 4x is NOT the longest side, in which case we need
4x>=y
or
4x >= 60-5x
9x >=60
x >= 6.67
so x=5 will not qualify, because 4x will no longer be the longest side.
The only valid option is x=7 cm
The side lengths for x=7 and x=5 are, respectively,
(7, 25, 28)
5, 20, 35 (in which case, the longest side is no longer 4x=20, so eliminated)